71091306713752 has 96 divisors (see below), whose sum is σ = 146830590216000. Its totient is φ = 32245208112000.

The previous prime is 71091306713701. The next prime is 71091306713761. The reversal of 71091306713752 is 25731760319017.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 71091306713752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259188699 + ... + 259462837.

It is an arithmetic number, because the mean of its divisors is an integer number (1529485314750).

Almost surely, 2^{71091306713752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71091306713752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73415295108000).

71091306713752 is an abundant number, since it is smaller than the sum of its proper divisors (75739283502248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71091306713752 is a wasteful number, since it uses less digits than its factorization.

71091306713752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277481 (or 277464 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 52.

The spelling of 71091306713752 in words is "seventy-one trillion, ninety-one billion, three hundred six million, seven hundred thirteen thousand, seven hundred fifty-two".